Question

The contrapositive statement of the statement "If $x$ is prime number, then $x$ is odd" is

• A. If $x$ is not a prime number, then $x$ is not odd
• B. If $x$ is a prime number, then $x$ is not odd
• C. If $x$ is not a prime number, then $x$ is odd
• D. If $x$ is not odd, then $x$ is not a prime number

Answer 1

The correct option is D If $x$ is not odd, then $x$ is not a prime number

$p:$ $x$ is prime number
$q:$ $x$ is odd
we need to find ~($p\to q$) $\Rightarrow$~$q\to$~$p$
$\to$ If $x$ is not odd, then $x$ is not a prime number